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Finding the Third Proportional to 233,960.06 and 478,981.69

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Solution

The third proportional to 233,960.06 and 478,981.69 is: 980,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,960.06 : 478,981.69 = 478,981.69 : x
  2. Step 2: Convert to fraction form
    233,960.06/478,981.69 = 478,981.69/x
  3. Step 3: Cross multiply
    233,960.06x = 478,981.69 × 478,981.69
  4. Step 4: Simplify right side
    233,960.06x = 229,423,456,960.35
  5. Step 5: Solve for x
    x = 229,423,456,960.35/233,960.06
  6. Step 6: Final answer
    x = 980,609.49

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.